题目：Stability and Morse Index of Capillary Surfaces in 3-Manifolds

报告人：洪寒 博士 （清华大学）

地点：腾讯会议室

时间：2021年10月26日 15:00-16:00

摘要：In this talk, we will discuss stability and index estimates for compact and noncompact capillary surfaces. A classical result in minimal surface theory says that a stable complete minimal surface in R^3 must be a plane. We show that, under certain curvature assumptions, a strongly stable capillary surface in a 3-manifold with boundary has only three possible topological configurations. In particular, we prove that a strongly stable capillary surface in a half-space of R^3 which is minimal or has the contact angle less than or equal to $\pi/2$ must be a half-plane. We also give index estimates for compact capillary surfaces in 3-manifolds by using harmonic one-forms.

This is joint work with Aiex and Saturnino.

腾讯会议：https://meeting.tencent.com/dm/cVdY0N8Kg21c

会议 ID：390 358 712

All are welcome!